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Finding the Third Proportional to 122,860.69 and 192,765.94

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Solution

The third proportional to 122,860.69 and 192,765.94 is: 302,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,860.69 : 192,765.94 = 192,765.94 : x
  2. Step 2: Convert to fraction form
    122,860.69/192,765.94 = 192,765.94/x
  3. Step 3: Cross multiply
    122,860.69x = 192,765.94 × 192,765.94
  4. Step 4: Simplify right side
    122,860.69x = 37,158,706,660.25
  5. Step 5: Solve for x
    x = 37,158,706,660.25/122,860.69
  6. Step 6: Final answer
    x = 302,445.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.